271 citations · 2.2k across the 64 of their papers we have counts for
69 papers
The second class particle process at shocks
Patrik L. Ferrari, Peter Nejjar
We consider the totally asymmetric simple exclusion process (TASEP) starting with a shock discontinuity at the origin, with asymptotic densities to the left of the origin and $…
The Airy process and the 3D Ising model
Patrik L. Ferrari, Senya Shlosman
The Ferrari-Spohn diffusion process arises as limit process for the 2D Ising model as well as random walks with area penalty. Motivated by the 3D Ising model, we consider such…
On the exponent governing the correlation decay of the Airy process
Riddhipratim Basu, Ofer Busani, Patrik L. Ferrari
We study the decay of the covariance of the Airy process, , a stationary stochastic process on that arises as a universal scaling limit in the Karda…
Time-time covariance for last passage percolation in half-space
Patrik L. Ferrari, Alessandra Occelli
This article studies several properties of the half-space last passage percolation, in particular the two-time covariance. We show that, when the two end-points are at small macros…
The half-space Airy stat process
Dan Betea, Patrik Ferrari, Alessandra Occelli
We study the multipoint distribution of stationary half-space last passage percolation with exponentially weighted times. We derive both finite-size and asymptotic results for this…
Universality of the geodesic tree in last passage percolation
Ofer Busani, Patrik Ferrari
In this paper we consider the geodesic tree in exponential last passage percolation. We show that for a large class of initial conditions around the origin, the line-to-point geode…